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61628234136 = 2337410110589
BaseRepresentation
bin111001011001010101…
…000011100110011000
312220001222101200002020
4321121111003212120
52002203311443021
644151150534440
74311130230000
oct713125034630
9186058350066
1061628234136
1124155593507
12bb3b207420
135a71b9a241
142da8c17000
15190a67c7c6
hexe59543998

61628234136 has 160 divisors (see below), whose sum is σ = 181535050800. Its totient is φ = 17432083200.

The previous prime is 61628234117. The next prime is 61628234179. The reversal of 61628234136 is 63143282616.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5814730 + ... + 5825318.

Almost surely, 261628234136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61628234136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90767525400).

61628234136 is an abundant number, since it is smaller than the sum of its proper divisors (119906816664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61628234136 is a wasteful number, since it uses less digits than its factorization.

61628234136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10727 (or 10702 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 61628234136 in words is "sixty-one billion, six hundred twenty-eight million, two hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 101 147 168 196 202 294 303 343 392 404 588 606 686 707 808 1029 1176 1212 1372 1414 2058 2121 2401 2424 2744 2828 4116 4242 4802 4949 5656 7203 8232 8484 9604 9898 10589 14406 14847 16968 19208 19796 21178 28812 29694 31767 34643 39592 42356 57624 59388 63534 69286 74123 84712 103929 118776 127068 138572 148246 207858 222369 242501 254136 277144 296492 415716 444738 485002 518861 592984 727503 831432 889476 970004 1037722 1069489 1455006 1556583 1778952 1940008 2075444 2138978 2910012 3113166 3208467 3632027 4150888 4277956 5820024 6226332 6416934 7264054 7486423 8555912 10896081 12452664 12833868 14528108 14972846 21792162 22459269 25424189 25667736 29056216 29945692 43584324 44918538 50848378 52404961 59891384 76272567 87168648 89837076 101696756 104809922 152545134 157214883 179674152 203393512 209619844 305090268 314429766 366834727 419239688 610180536 628859532 733669454 1100504181 1257719064 1467338908 2201008362 2567843089 2934677816 4402016724 5135686178 7703529267 8804033448 10271372356 15407058534 20542744712 30814117068 61628234136